Can you find out the remainder when 3^300 is divided by 5?

Can you find the largest Three-digit number whose sum is 14 and whose square is less than 5,00,000?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Using four sevens (7) and a one (1) create the number 100. Except for the five numerals, you can use the usual mathematical operations (+, -, x, :), root and brackets ()

You need to arrange three 7 and mathematical symbols to form number 1?

In a stable, there are men and horses. In all, there are 22 heads and 72 feet. How many men and how many horses are in the stable

If we add four times the age of John four years from now to five times his age five years from now we get ten times his current age.

How old will John be two years from now?

We have arranged an array of numbers below. What you have to do is use any kind of mathematical symbol you know excluding any symbol that contains a number like cube root. You can use any amount of symbols but you have to come up with a valid equation for all of them.

0 0 0 = 6
1 1 1 = 6
2 + 2 + 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

A 3 digit number is such that it's unit digit is equal to the product of the other two digits which are prime. Also, the difference between it's reverse and itself is 396.

What is the sum of the three digits?

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?